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Define co-efficient of linear and cubica...

Define co-efficient of linear and cubical expansion and establish a relation between them . The length of a copper wire is measured 40 cm by a metal scale when both are at the temperature of `25^@C` . What would be the length of wire measured by the same scale when both are at `55^@C`? `(alpha "for metal" = 1.1 xx 10^(-7) @C^(-1)` and `alpha` for copper =`1.7 xx 10^(-7)@c^(-1))`

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A metal scale is graduated at 0^@C . What would be the true length of an object which when measured with this scale at 25^@C , reads 50 cm? alpha for metal = 18 xx 10^(-6)//^@C .

A brass scale is correct at 20^@C . The length of a rod measured by it at 35^@C is 60 cm . What is the correct length of rod at that temperature ? ( alpha of brass = 18.9 xx 10^(-6) per^@C) .

A metal sphere 10.01 cm in diameter is placed on a brass ring of internal diameter 10 cm at the same temperature of 12^@C . Find the temperature to which they should be heated together so that the metal sphere just passes through the ring . alpha_"metal" = 12 xx 10^(-6)//^@C and alpha_"brass" = 18 xx 10^(-6)//^@C

The resistance of a metallic wire is 10Omega at 9^@C . Calculate its resistance at a temperature of 100^@C . Gien a = 3.9 xx 10^-3 K^-1

A steel rod when measured with a zinc scale (alpha = 26 xx 10^(-6)//^@C) appears to be 1 m long when both rods are at 20^@C . If the zinc scale was graduated at 0^@C , what is the true length of the steel rod at 0^@C ? alpha for steel = 12 xx 10^(-6)//^@C .

Given the co-efficient of linear expansion of copper to be 17 xx 10^(-6) /^@C , write the value co-efficient of volume expansion a copper block.

A steel tyre is 1 m in diameter at 10^@C . To what temperature it must be raised so that it may just slip on a wheel 1.005 m in diameter ? alpha for steel = 12 xx 10^(-6)//^@C .

What should be the length of steel abd copper rods at 0^@C so that the difference in their lengths is 5.0 cm at all temperatures. Coefficient of linear expansion of copper is 1.7 xx 10^(-5) //^@ C and that of steel is 1.1 xx 10^(-5) //^@ C .

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